6108985600 has 81 divisors (see below), whose sum is σ = 15136186387. Its totient is φ = 2441093120.

The previous prime is 6108985579. The next prime is 6108985627. The reversal of 6108985600 is 65898016.

The square root of 6108985600 is 78160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 869542144 + 5239443456 = 29488^2 + 72384^2 .

It is a super-2 number, since 2×6108985600² = 74639410122014720000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6252312 + ... + 6253288.

Almost surely, 2^6108985600 is an apocalyptic number.

6108985600 is the 78160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6108985600

6108985600 is an abundant number, since it is smaller than the sum of its proper divisors (9027200787).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6108985600 is an frugal number, since it uses more digits than its factorization.

6108985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The cubic root of 6108985600 is about 1828.0568622813.

It can be divided in two parts, 61089 and 85600, that added together give a square (146689 = 383²).

The spelling of 6108985600 in words is "six billion, one hundred eight million, nine hundred eighty-five thousand, six hundred".